Question 1

An automobile jack raises the car 3/16 inch for each stroke of the lever. How many strokes of the lever are needed to lift the car 6 3/4 inches?&#10;A) 35&#10;B) 36&#10;C) 37&#10;D) 39

Accepted Answer

To find the number of strokes needed, divide the total inches to be lifted (6 3/4 inches) by the inches lifted per stroke (3/16 inch). Convert 6 3/4 inches to an improper fraction: 6 3/4 = 27/4. Then, divide 27/4 by 3/16, which equals 27/4 * 16/3 = 108/12 = 9. Therefore, 9 strokes are needed, indicating a mistake in the calculation. Correct calculation: (6 3/4) / (3/16) = (27/4) / (3/16) = (27*16) / (4*3) = 432 / 12 = 36.

Question 2

The average time for lubricating a car is 2/5 hour. How many cars can be lubricated in an 8-hour day?&#10;A) 15&#10;B) 20&#10;C) 24&#10;D) 25

Accepted Answer

To find the number of cars that can be lubricated in 8 hours, we need to divide the total time available by the time taken to lubricate one car. Using the formula: 
Number of cars = Total time available / Time taken to lubricate one car

Number of cars = 8 / (2/5)

Number of cars = 8 * 5/2

Number of cars = 20

Therefore, 20 cars can be lubricated in an 8-hour day, which is the best choice, i.e. Option B.

Question 3

21/7 in lowest terms is ____________________.

Accepted Answer

3

Question 4

If a woman averages 58 3/8 miles per hour on a trip, how many hours does it take her to travel 467 miles?&#10;A) 8&#10;B) 9&#10;C) 9 1/2&#10;D) 9 3/4

Accepted Answer

The answer of If a woman averages 58 3/8 miles...

Question 5

A mechanic is paid $78.30 for 4 1/2 hours of work. What is the hourly rate in dollars and cents?&#10;A) $16.20&#10;B) $17.40&#10;C) $18.40&#10;D) $19.30

Accepted Answer

To find the hourly rate, we need to divide the total pay by the number of hours worked.

First, we need to convert 4 1/2 hours to a fraction of an hour. We know that 1 hour is the same as 60 minutes, so 30 minutes (or 1/2 hour) is equal to 0.5 hours. Therefore, 4 1/2 hours is equal to 4.5 hours.

Now, we can divide the total pay of $78.30 by 4.5 hours:

$78.30 ÷ 4.5 hours = $17.40 per hour

Therefore, the hourly rate is $17.40.

The best choice is B.

Question 6

A garage owner has an oil barrel that contains 68 1/4 gallons. If sales average 11 3/8 gallons a day, how many days will the oil last?&#10;A) 4&#10;B) 5&#10;C) 6&#10;D) 7

Accepted Answer

The oil will last for 6 days. (68.25 / 11.375 = 6)

Question 7

____________________ means to place the bottom number on top and the top number on the bottom.

Accepted Answer

The answer of ____________________ means to place the bottom number...

Question 8

The second step when dividing common fractions is to change the division sign to a(n) ____________________ sign.

Accepted Answer

The answer of The second step when dividing common fractions...

Question 9

A certain size copper tubing weighs 1/2 pound per foot. How many feet are there in a roll weighing 11 1/4 pounds?&#10;A) 16 1/2&#10;B) 18 3/4&#10;C) 22 1/2&#10;D) 24

Accepted Answer

First, we need to find the weight of one foot of the copper tubing. We know that one foot weighs 1/2 pound. 
Next, we need to find how many feet are in 11 1/4 pounds. We can set up a proportion:

1/2 pound = 1 foot 
11 1/4 pounds = x feet

To solve for x, we cross-multiply:

1/2 * x = 11 1/4 
x = (11 1/4) / (1/2) 
x = 22 1/2

Therefore, there are 22 1/2 feet in a roll weighing 11 1/4 pounds.

Question 10

At an average rate of 45 1/8 miles per hour, how many hours does it take to drive 338 7/16 miles?&#10;A) 5 1/2&#10;B) 6&#10;C) 6 1/2&#10;D) 7 1/2

Accepted Answer

The answer of At an average rate of 45 1/8...

Deck 8: Division of Common Fractions